A hyperfinite inequality for free entropy dimension

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

If $X, Y,$ and $Z$ are finite sets of selfadjoint elements in a tracial von Neumann algebra and $X$ generates a hyperfinite von Neumann algebra, then $δ_0(X \cup Y \cup Z) \leq δ_0(X \cup Y) + δ_0(X \cup Z) - δ_0(X).$ We draw several corollaries from this inequality.
9 pages, added section and corollary

Keywords

Operator Algebras, 46L54; 28A78

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/68402

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308271
 http://arxiv.org/abs/math/0308271

Collections

arXiv